{"torsion_structure": [6], "ainvs": "1,1;0,-1;0,0;463231,-463231;77449961,0", "cm": 0, "torsion_gens": ["[[0,-461],[3332,-6664],[1,0]]"], "number": 3, "rank": 0, "field_label": "2.0.3.1", "galois_images": ["2B", "3B.1.1[2]"], "conductor_norm": 108300, "abs_disc": 3, "iso_nlabel": 8, "rank_bounds": [0, 0], "conductor_ideal": "(-380*w+190)", "base_change": ["1710.j1", "570.k1"], "local_data": [{"p": "(-2*w+1)", "cp": 4, "kod": 8, "red": 1, "normp": 3, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(-5*w+3)", "cp": 3, "kod": 7, "red": 1, "normp": 19, "rootno": -1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}, {"p": "(-5*w+2)", "cp": 3, "kod": 7, "red": 1, "normp": 19, "rootno": -1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}, {"p": "(2)", "cp": 4, "kod": 8, "red": 1, "normp": 4, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(5)", "cp": 18, "kod": 22, "red": 1, "normp": 25, "rootno": -1, "ord_cond": 1, "ord_disc": 18, "ord_den_j": 18}], "analytic_rank": 0, "minD": "(3767761230468750000)", "label": "2.0.3.1-108300.2-i3", "jinv": "10993009831928446009969/3767761230468750000,0", "conductor_label": "108300.2", "class_deg": 6, "reg": 1, "class_size": 4, "class_label": "2.0.3.1-108300.2-i", "iso_label": "i", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "108300.2-i3", "short_class_label": "108300.2-i", "isogeny_matrix": [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], "torsion_order": 6, "equation": "{y}^2+\\left(a+1\\right){x}{y}={x}^{3}-a{x}^{2}+\\left(-463231a+463231\\right){x}+77449961", "gens": [], "ngens": 0, "signature": [0, 1], "trace_hash": 1034445747030607088, "heights": [], "isodeg": [1, 2, 3, 6], "omega": {"__RealLiteral__": 0, "data": "0.010751404925847587986938442215738539072", "prec": 137}, "potential_good_reduction": false, "tamagawa_product": 2592, "bad_primes": ["(-2*w+1)", "(-5*w+3)", "(-5*w+2)", "(2)", "(5)"], "Lvalue": {"__RealLiteral__": 0, "data": "3.5754200801883494529819004949506925437", "prec": 130}, "sha": 4, "torsion_primes": [2, 3], "n_bad_primes": 5, "reducible_primes": [2, 3], "semistable": true, "disc": "(3767761230468750000)", "normdisc": 14196024689823389053344726562500000000, "conductor_norm_factors": [2, 3, 5, 19], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 2.807736158976217, "cm_type": 0}